Energy Methods For Free Boundary Problems

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Energy Methods for Free Boundary Problems

Author : S.N. Antontsev
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641238
Total Pages : 348 pages
Book Rating : 4.6/5 (412 download)

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Book Synopsis Energy Methods for Free Boundary Problems by : S.N. Antontsev

Download or read book Energy Methods for Free Boundary Problems written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2001-10-26 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.

Energy Methods for Free Boundary Problems

Author : Stanislav Nikolaevich Antont︠s︡ev
Publisher : Birkhauser
ISBN 13 : 9783764341237
Total Pages : 329 pages
Book Rating : 4.3/5 (412 download)

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Book Synopsis Energy Methods for Free Boundary Problems by : Stanislav Nikolaevich Antont︠s︡ev

Download or read book Energy Methods for Free Boundary Problems written by Stanislav Nikolaevich Antont︠s︡ev and published by Birkhauser. This book was released on 2002 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Methods for Free Boundary Problems

Author : S.N. Antontsev
Publisher : Springer Science & Business Media
ISBN 13 : 1461200911
Total Pages : 332 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Energy Methods for Free Boundary Problems by : S.N. Antontsev

Download or read book Energy Methods for Free Boundary Problems written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.

Energy Methods in Continuum Mechanics

Author : S.N. Antontsev
Publisher : Springer Science & Business Media
ISBN 13 : 9400903375
Total Pages : 180 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Energy Methods in Continuum Mechanics by : S.N. Antontsev

Download or read book Energy Methods in Continuum Mechanics written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, from March 21 to March 23, 1994. It is well known that the conservation laws and the constitutive equations of Continuum Mechanics lead to complicated coupled systems of partial differential equations to which, as a rule, one fails to apply the techniques usually employed in the studies of scalar uncoupled equations such as, for instance, the maximum principle. The study of the qualitative behaviour of solutions of the systems re quires different techniques, among others, the so called, Energy Methods where the properties of some integral of a nonnegative function of one or several unknowns allow one to arrive at important conclusions on the envolved unknowns. This vol ume presents the state of the art in such a technique. A special attention is paid to the class of Free Boundary Problems. The organizers are pleased to thank the European Science Foundation (Pro gram on Mathematical treatment of free boundary problems), the DGICYT (Spain), the FICYT (Principado de Asturias, Spain) and the Universities of Oviedo and Complutense de Madrid for their generous financial support. Finally, we wish to thank Kluwer Academic Publishers for the facilities received for the publication of these Proceedings.

Free Boundary Problems

Author : Ioannis Athanasopoulos
Publisher : Routledge
ISBN 13 : 1351447149
Total Pages : 366 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Free Boundary Problems by : Ioannis Athanasopoulos

Download or read book Free Boundary Problems written by Ioannis Athanasopoulos and published by Routledge. This book was released on 2019-11-11 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Free boundary problems arise in an enormous number of situations in nature and technology. They hold a strategic position in pure and applied sciences and thus have been the focus of considerable research over the last three decades. Free Boundary Problems: Theory and Applications presents the work and results of experts at the forefront of current research in mathematics, material sciences, chemical engineering, biology, and physics. It contains the plenary lectures and contributed papers of the 1997 International Interdisciplinary Congress proceedings held in Crete. The main topics addressed include free boundary problems in fluid and solid mechanics, combustion, the theory of filtration, and glaciology. Contributors also discuss material science modeling, recent mathematical developments, and numerical analysis advances within their presentations of more specific topics, such as singularities of interfaces, cusp cavitation and fracture, capillary fluid dynamics of film coating, dynamics of surface growth, phase transition kinetics, and phase field models. With the implications of free boundary problems so far reaching, it becomes important for researchers from all of these fields to stay abreast of new developments. Free Boundary Problems: Theory and Applications provides the opportunity to do just that, presenting recent advances from more than 50 researchers at the frontiers of science, mathematics, and technology.

Free Boundary Problems

Author : Antonio Fasano
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Free Boundary Problems by : Antonio Fasano

Download or read book Free Boundary Problems written by Antonio Fasano and published by Pitman Advanced Publishing Program. This book was released on 1983 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Free Boundary Problems in Continuum Mechanics

Author : S.N. Antontsev
Publisher : Birkhäuser
ISBN 13 : 3034886276
Total Pages : 348 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Free Boundary Problems in Continuum Mechanics by : S.N. Antontsev

Download or read book Free Boundary Problems in Continuum Mechanics written by S.N. Antontsev and published by Birkhäuser. This book was released on 2013-03-07 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in different fields of mechanics, such as filtra tion theory, elastic-plastic problems, crystallization pro cesses, internal and surface waves, etc., is governed to a great extent by the advances in the study of free boundary problems for nonlinear partial differential equations. Free boundary problems form a scientific area which attracts attention of many specialists in mathematics and mechanics. Increasing interest in the field has given rise to the "International Conferences on Free Boundary Problems and Their Applications" which have convened, since the 1980s, in such countries as England, the United states, Italy, France and Germany. This book comprises the papers presented at the Interna tional Conference "Free Boundary Problems in Continuum Mechanics", organized by the Lavrentyev Institute of Hydrodynamics, Russian Academy of Sciences, July 15-19, 1991, Novosibirsk, Russia. The scientific committee consisted of: Co-chairmen: K.-H. Hoffmann, L.V. Ovsiannikov S. Antontsev (Russia) J. Ockendon (UK) M. Fremond (France) L. Ovsiannikov (Russia) A. Friedman (USA) S. Pokhozhaev (Russia) K.-H. Hoffmann (Germany) M. Primicerio (Italy) A. Khludnev (Russia) V. Pukhnachov (Russia) V. Monakhov (Russia) Yu. Shokin (Russia) V. Teshukov (Russia) Our thanks are due to the members of the Scientific Com mittee, all authors, and participants for contributing to the success of the Conference. We would like to express special appreciation to N. Makarenko, J. Mal'tseva and T. Savelieva, Lavrentyev Institute of Hydrodynamics, for their help in preparing this book for publication

Free Boundary Problems

Author : J I Diaz
Publisher : CRC Press
ISBN 13 : 9780582256453
Total Pages : 236 pages
Book Rating : 4.2/5 (564 download)

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Book Synopsis Free Boundary Problems by : J I Diaz

Download or read book Free Boundary Problems written by J I Diaz and published by CRC Press. This book was released on 1995-04-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research note consists of selected contributions from the 1993 International Conference on "Free Boundary Problems: Theory and Applications." These represent coherent and high-level research in the field of free boundary problems. Topics include mean curvature flows, phase transitions and material sciences, fluid mechanics and combustion problems.

Free Boundary Problems

Author : Isabel Narra Figueiredo
Publisher : Springer Science & Business Media
ISBN 13 : 3764377194
Total Pages : 462 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Free Boundary Problems by : Isabel Narra Figueiredo

Download or read book Free Boundary Problems written by Isabel Narra Figueiredo and published by Springer Science & Business Media. This book was released on 2007-01-11 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects refereed lectures and communications presented at the Free Boundary Problems Conference (FBP2005). These discuss the mathematics of a broad class of models and problems involving nonlinear partial differential equations arising in physics, engineering, biology and finance. Among other topics, the talks considered free boundary problems in biomedicine, in porous media, in thermodynamic modeling, in fluid mechanics, in image processing, in financial mathematics or in computations for inter-scale problems.

Free Boundary Problems

Author : A. Bossavit
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Free Boundary Problems by : A. Bossavit

Download or read book Free Boundary Problems written by A. Bossavit and published by . This book was released on 1985 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Free Boundary Problems Involving Solids

Author : J M Chadam
Publisher : CRC Press
ISBN 13 : 9780582087675
Total Pages : 264 pages
Book Rating : 4.0/5 (876 download)

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Book Synopsis Free Boundary Problems Involving Solids by : J M Chadam

Download or read book Free Boundary Problems Involving Solids written by J M Chadam and published by CRC Press. This book was released on 1993-02-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes containing the proceedings of the International Colloquium 'Free Boundary Problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main theme of this volume is the concept of free boundary problems associated with solids. The first free boundary problem, the freezing of water - the Stefan problem - is the prototype of solidification problems which form the main part of this volume. The two sections treting this subject cover a large variety of topics and procedures, ranging from a theoretical mathematical treatment of solvability to numerical procedures for practical problems. Some new and interesting problems in solid mechanics are discussed in the first section while in the last section the important new subject of solid-solid-phase transition is examined.

Variational Problems with Concentration

Author : Martin F. Bach
Publisher : Birkhäuser
ISBN 13 : 303488687X
Total Pages : 162 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Variational Problems with Concentration by : Martin F. Bach

Download or read book Variational Problems with Concentration written by Martin F. Bach and published by Birkhäuser. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.

Free Boundary Problems, Theory and Applications

Author : Marek Niezgodka
Publisher : CRC Press
ISBN 13 : 9780582305939
Total Pages : 462 pages
Book Rating : 4.3/5 (59 download)

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Book Synopsis Free Boundary Problems, Theory and Applications by : Marek Niezgodka

Download or read book Free Boundary Problems, Theory and Applications written by Marek Niezgodka and published by CRC Press. This book was released on 1996-11-25 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing various aspects of nonlinear partial differential equations, this volume contains papers and lectures presented at the Congress on Free boundary Problems, Theory and Application held in Zakopane, Poland in 1995. Topics include existence, uniqueness, asymptotic behavior, and regularity of solutions and interfaces.

Free Boundary Problems in Continuum Mechanics

Author : Stanislav Nikolaevich Antont︠s︡ev
Publisher : Springer Science & Business Media
ISBN 13 : 9783764327842
Total Pages : 372 pages
Book Rating : 4.3/5 (278 download)

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Book Synopsis Free Boundary Problems in Continuum Mechanics by : Stanislav Nikolaevich Antont︠s︡ev

Download or read book Free Boundary Problems in Continuum Mechanics written by Stanislav Nikolaevich Antont︠s︡ev and published by Springer Science & Business Media. This book was released on 1992 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some extremum and unilateral boundary value problems in viscous hydrodynamics.- On axisymmetric motion of the fluid with a free surface.- On the occurrence of singularities in axisymmetrical problems of hele-shaw type.- New asymptotic method for solving of mixed boundary value problems.- Some results on the thermistor problem.- New applications of energy methods to parabolic and elliptic free boundary problems.- A localized finite element method for nonlinear water wave problems.- Approximate method of investigation of normal oscillations of viscous incompressible liquid in container.- The classical Stefan problem as the limit case of the Stefan problem with a kinetic condition at the free boundary.- A mathematical model of oscillations energy dissipation of viscous liquid in a tank.- Existence of the classical solution of a two-phase multidimensional Stefan problem on any finite time interval.- Asymptotic theory of propagation of nonstationary surface and internal waves over uneven bottom.- Multiparametric problems of two-dimensional free boundary seepage.- Nonisothermal two-phase filtration in porous media.- Explicit solution of time-dependent free boundary problems.- Nonequilibrium phase transitions in frozen grounds.- System of variational inequalities arising in nonlinear diffusion with phase change.- Contact viscoelastoplastic problem for a beam.- Application of a finite-element method to two-dimensional contact problems.- Computations of a gas bubble motion in liquid.- Waves on the liquid-gas free surface in the presence of the acoustic field in gas.- Smooth bore in a two-layer fluid.- Numerical calculation of movable free and contact boundaries in problems of dynamic deformation of viscoelastic bodies.- On the canonical variables for two-dimensional vortex hydrodynamics of incompressible fluid.- About the method with regularization for solving the contact problem in elasticity.- Space evolution of tornado-like vortex core.- Optimal shape design for parabolic system and two-phase Stefan problem.- Incompressible fluid flows with free boundary and the methods for their research.- On the Stefan problems for the system of equations arising in the modelling of liquid-phase epitaxy processes.- Stefan problem with surface tension as a limit of the phase field model.- The modelization of transformation phase via the resolution of an inclusion problem with moving boundary.- To the problem of constructing weak solutions in dynamic elastoplasticity.- The justification of the conjugate conditions for the Euler's and Darcy's equations.- On an evolution problem of thermo-capillary convection.- Front tracking methods for one-dimensional moving boundary problems.- On Cauchy problem for long wave equations.- On fixed point (trial) methods for free boundary problems.- Nonlinear theory of dynamics of a viscous fluid with a free boundary in the process of a solid body wetting.

Free Boundary Problems

Author : Karl-Heinz Hoffmann
Publisher : Longman Scientific and Technical
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Free Boundary Problems by : Karl-Heinz Hoffmann

Download or read book Free Boundary Problems written by Karl-Heinz Hoffmann and published by Longman Scientific and Technical. This book was released on 1990 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Emerging Applications in Free Boundary Problems

Author : J M Chadam
Publisher : CRC Press
ISBN 13 : 1000153754
Total Pages : 296 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Emerging Applications in Free Boundary Problems by : J M Chadam

Download or read book Emerging Applications in Free Boundary Problems written by J M Chadam and published by CRC Press. This book was released on 2020-12-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents a collection of papers on emerging applications in free boundary problems. The subjects covered include microgravity, chemical and biological reactions, and electromagnetism and electronics.

Free Boundaries in Rock Mechanics

Author : Anvarbek Meirmanov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110546167
Total Pages : 220 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Free Boundaries in Rock Mechanics by : Anvarbek Meirmanov

Download or read book Free Boundaries in Rock Mechanics written by Anvarbek Meirmanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-09-11 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with free-boundary problems of partial differential equations arising in the physical sciences and in engineering. The existence and uniqueness of solutions to the Hele-Shaw problem are derived and techniques to deal with the Muskat problem are discussed. Based on these, mathematical models for the dynamics of cracks in underground rocks and in-situ leaching are developed. Contents Introduction The Hele–Shaw problem A joint motion of two immiscible viscous fluids Mathematical models of in-situ leaching Dynamics of cracks in rocks Elements of continuum mechanics